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Finding the Fourth Proportional to 1,932.36, 2,666.32 and 1,092.93

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Solution

The fourth proportional to 1,932.36, 2,666.32 and 1,092.93 is: 1,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.36 : 2,666.32 = 1,092.93 : x
  2. Step 2: Convert to fraction form
    1,932.36/2,666.32 = 1,092.93/x
  3. Step 3: Cross multiply
    1,932.36x = 2,666.32 × 1,092.93
  4. Step 4: Simplify right side
    1,932.36x = 2,914,088.39
  5. Step 5: Solve for x
    x = 2,914,088.39/1,932.36
  6. Step 6: Final answer
    x = 1,508.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.